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License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/DagSemProc.06271.9
URN: urn:nbn:de:0030-drops-7726
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2006/772/
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Gao, Xiao-Shan ; Zhang, Mingbo

Decomposition of Differential Polynomials

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06271.GaoXiaoShan.ExtAbstract.772.pdf (0.2 MB)

Abstract

We present an algorithm to decompose nonlinear differential
polynomials in one variable and with rational functions as
coefficients. The algorithm is implemented in Maple for the {em
constant field} case. The program can be used to decompose
differential polynomials with more than one thousand terms
effectively.

BibTeX - Entry

@InProceedings{gao_et_al:DagSemProc.06271.9,
  author =	{Gao, Xiao-Shan and Zhang, Mingbo},
  title =	{{Decomposition of Differential Polynomials}},
  booktitle =	{Challenges in Symbolic Computation Software},
  pages =	{1--10},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6271},
  editor =	{Wolfram Decker and Mike Dewar and Erich Kaltofen and Stephen Watt},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2006/772},
  URN =		{urn:nbn:de:0030-drops-7726},
  doi =		{10.4230/DagSemProc.06271.9},
  annote =	{Keywords: Decomposition, differential polynomial, difference polynomial}
}

Keywords: Decomposition, differential polynomial, difference polynomial
Collection: 06271 - Challenges in Symbolic Computation Software
Issue Date: 2006
Date of publication: 25.10.2006

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